(no subject)

[impossiblewizardry]

adzolotl replied to your post “real orthogonal matrices do rotations”

Might be a reflection!

No way.

Shit.

Really?

OK if i’ve got v, and rotate up by θ counterclockwise and you've got w. And then you do a reflection and you've got Av and Aw.

Then, starting at Av, you rotate by θ clockwise to get Aw.

So i'm gonna go ahead and say that v . w = - (Av . Aw)

So no, it can't be a reflection.

Right?